Home
Class 12
MATHS
Consider the ellipse (x^2)/(f(k^2+2k+5))...

Consider the ellipse `(x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1.` If `f(x)` is a positive decr4easing function, then the set of values of `k` for which the major axis is the x-axis is `(-3,2)dot` the set of values of `k` for which the major axis is the y-axis is `(-oo,2)dot` the set of values of `k` for which the major axis is the y-axis is `(-oo,-3)uu(2,oo)` the set of values of `k` for which the major axis is the y-axis is `(-3,-oo,)`

A

`k in(-2,3)`

B

`k in(-3,2)`

C

`k in (-infty,-3)cup(2,infty)`

D

`k in(-infty,-2)cup(3,infty)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

Consider the ellipse (x^(2))/(f(k^(2)+2k+5))+(y^(2))/(f(k+11))=1 ,f(x) is a positive decreasing function the number of integral values of k for which the major axis is x -axis is

The set of values of k for which kx^(2)-x-k+1<0AA x in R, is

The set of values of k for which x^(2)+(4k-1)x+9>0AA x in R is

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

Set of values of 'K' for which roots of the quadratic x^(2)-[2K-1)x+K(K-1)=0 are

The value of k such that the line 3x+4y+5-k(x+y+3)=0 is parallel to y-axis is

If the vertex of the parabola y=x^(2)-16x+k lies on x-axis,then the value of k is

For the ellipse ((x+y-1)^(2))/(9)+((x-y+2)^(2))/(4)=1 the end of major axis are

The exhaustive set of values of k for which tangents drawn from the point (k + 3, k) to the parabola y^(2)=4x , are real, is

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is...

    Text Solution

    |

  2. The muinimum area of the triangle formed by the tangent to (x^(2))/(a...

    Text Solution

    |

  3. Find the equation of the common tangent in the 1st quadrant to the cir...

    Text Solution

    |

  4. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  5. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  6. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

    Text Solution

    |

  7. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  8. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  9. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

  10. a triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  11. The conic having parametric representation x=sqrt3((1-t^(2)/(1+t^(2)))...

    Text Solution

    |

  12. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  15. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

    Text Solution

    |

  16. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

  17. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  18. Statement 1: An equation of a common tangent to the parabola y^2=16...

    Text Solution

    |

  19. An ellipse is drawn by taking a diameter of the circle (x""""1)^2+""y^...

    Text Solution

    |

  20. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  21. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |